How to solve Leibnitz equation

This equation is one dimensionel leibnitz equation. How can i solve this problem. I tried int(exp(-x^2),x) but it is wrong way. Can you help me?

Answer 1

[Star Strider]

Try this:

syms C t F(t) 
F(t) = sqrt(pi)/sym(2) * diff(erf(C*t),t)
F = vpa(F,2)

producing:

F(t) =
1.0*C*exp(-1.0*C^2*t^2)

.

Answer 2

[esat gulhan]

Smart way, thanks

[Star Strider]

As always, my pleasure!